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Finding the Fourth Proportional to 5,707.02, 7,877.01 and 3,714.12

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Solution

The fourth proportional to 5,707.02, 7,877.01 and 3,714.12 is: 5,126.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.02 : 7,877.01 = 3,714.12 : x
  2. Step 2: Convert to fraction form
    5,707.02/7,877.01 = 3,714.12/x
  3. Step 3: Cross multiply
    5,707.02x = 7,877.01 × 3,714.12
  4. Step 4: Simplify right side
    5,707.02x = 29,256,174.31
  5. Step 5: Solve for x
    x = 29,256,174.31/5,707.02
  6. Step 6: Final answer
    x = 5,126.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.